Information Geometry in Roegenian Economics
We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors. The main results for ideal income are included in three subsections: partition function in distribution, scalar curvature, and ge...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/7/932 |
| _version_ | 1797406528912752640 |
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| author | Constantin Udriste Ionel Tevy |
| author_facet | Constantin Udriste Ionel Tevy |
| author_sort | Constantin Udriste |
| collection | DOAJ |
| description | We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors. The main results for ideal income are included in three subsections: partition function in distribution, scalar curvature, and geodesics. Although this system displays no phase transition, its analysis provides an enlightening contrast with the results of Van der Waals Income in Roegenian Economics, where we shall examine the geometry of the economic Van der Waals income, which does exhibit a “monetary policy as liquidity—income” transition. Here we focus on three subsections: canonical partition function, economic limit, and information geometry of the economic Van der Waals manifold. |
| first_indexed | 2024-03-09T03:27:48Z |
| format | Article |
| id | doaj.art-d3646f7ce35d47329b87ec1e1b0d86c2 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T03:27:48Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d3646f7ce35d47329b87ec1e1b0d86c22023-12-03T15:00:23ZengMDPI AGEntropy1099-43002022-07-0124793210.3390/e24070932Information Geometry in Roegenian EconomicsConstantin Udriste0Ionel Tevy1Department of Mathematics-Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, Sector 6, 060042 Bucharest, RomaniaDepartment of Mathematics-Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independentei 313, Sector 6, 060042 Bucharest, RomaniaWe characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors. The main results for ideal income are included in three subsections: partition function in distribution, scalar curvature, and geodesics. Although this system displays no phase transition, its analysis provides an enlightening contrast with the results of Van der Waals Income in Roegenian Economics, where we shall examine the geometry of the economic Van der Waals income, which does exhibit a “monetary policy as liquidity—income” transition. Here we focus on three subsections: canonical partition function, economic limit, and information geometry of the economic Van der Waals manifold.https://www.mdpi.com/1099-4300/24/7/932statistical Roegenian economicsinformation geometry (ideal income, Van der Waals income)economic partition functionFisher–Rao metricscalar curvaturegeodesics |
| spellingShingle | Constantin Udriste Ionel Tevy Information Geometry in Roegenian Economics Entropy statistical Roegenian economics information geometry (ideal income, Van der Waals income) economic partition function Fisher–Rao metric scalar curvature geodesics |
| title | Information Geometry in Roegenian Economics |
| title_full | Information Geometry in Roegenian Economics |
| title_fullStr | Information Geometry in Roegenian Economics |
| title_full_unstemmed | Information Geometry in Roegenian Economics |
| title_short | Information Geometry in Roegenian Economics |
| title_sort | information geometry in roegenian economics |
| topic | statistical Roegenian economics information geometry (ideal income, Van der Waals income) economic partition function Fisher–Rao metric scalar curvature geodesics |
| url | https://www.mdpi.com/1099-4300/24/7/932 |
| work_keys_str_mv | AT constantinudriste informationgeometryinroegenianeconomics AT ioneltevy informationgeometryinroegenianeconomics |